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Three-dimensional channel flow of second grade fluid in rotating frame

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Abstract

An analysis is performed for the hydromagnetic second grade fluid flow between two horizontal plates in a rotating system in the presence of a magnetic field. The lower sheet is considered to be a stretching sheet, and the upper sheet is a porous solid plate. By suitable transformations, the equations of conservation of mass and momentum are reduced to a system of coupled non-linear ordinary differential equations. A series of solutions to this coupled non-linear system are obtained by a powerful analytic technique, i.e., the homotopy analysis method (HAM). The results are presented with graphs. The effects of non-dimensional parameters R,λ,M 2, α, and K 2 on the velocity field are discussed in detail.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    S. Hussnain & A. Ali

  2. Department of Mathematics, International Islamic University, Islamabad, Pakistan

    A. Mehmood

Authors
  1. S. Hussnain
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  2. A. Mehmood
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  3. A. Ali
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Correspondence to S. Hussnain.

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Hussnain, S., Mehmood, A. & Ali, A. Three-dimensional channel flow of second grade fluid in rotating frame. Appl. Math. Mech.-Engl. Ed. 33, 289–302 (2012). https://doi.org/10.1007/s10483-012-1550-9

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  • DOI: https://doi.org/10.1007/s10483-012-1550-9

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